Testing for Wilson’s Quantum Field Theory in Less Than 4 Dimensions

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Abstract

Wilson's quantum field theory (QFT) in less than 4 dimensions has achieved a great success in the study of critical phenomenon but is still not tested within the scope of particle physics. To guarantee the validity of Wilson's QFT in less than 4 dimensions, Newton–Leibniz's differential-integral formulas must be extended to the noninteger dimensional situation. We show that this leads to a new prediction that Planck's constant will be expressed in terms of three fundamental constants: critical time scale, dimension of time axis, and total energy of universe. We propose the corresponding methods to measure these three constants. It will be thus interesting to compare the well-known value of Planck's constant with the potential theoretical value consisting of three fundamental constants.

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Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

the ATLAS Collaboration, Andrea Ventura, Hucheng Chen … (2012)

A search for the Standard Model Higgs boson in proton-proton collisions with the ATLAS detector at the LHC is presented. The datasets used correspond to integrated luminosities of approximately 4.8 fb^-1 collected at sqrt(s) = 7 TeV in 2011 and 5.8 fb^-1 at sqrt(s) = 8 TeV in 2012. Individual searches in the channels H->ZZ^(*)->llll, H->gamma gamma and H->WW->e nu mu nu in the 8 TeV data are combined with previously published results of searches for H->ZZ^(*), WW^(*), bbbar and tau^+tau^- in the 7 TeV data and results from improved analyses of the H->ZZ^(*)->llll and H->gamma gamma channels in the 7 TeV data. Clear evidence for the production of a neutral boson with a measured mass of 126.0 +/- 0.4(stat) +/- 0.4(sys) GeV is presented. This observation, which has a significance of 5.9 standard deviations, corresponding to a background fluctuation probability of 1.7x10^-9, is compatible with the production and decay of the Standard Model Higgs boson.

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Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC

Marcin Konecki (corresponding) , Marc Baarmand (corresponding) , Ignazio Lazzizzera (corresponding) … (2013)

Results are presented from searches for the standard model Higgs boson in proton-proton collisions at sqrt(s) = 7 and 8 TeV in the Compact Muon Solenoid experiment at the LHC, using data samples corresponding to integrated luminosities of up to 5.1 inverse femtobarns at 7 TeV and 5.3 inverse femtobarns at 8 TeV. The search is performed in five decay modes: gamma gamma, ZZ, WW, tau tau, and b b-bar. An excess of events is observed above the expected background, with a local significance of 5.0 standard deviations, at a mass near 125 GeV, signalling the production of a new particle. The expected significance for a standard model Higgs boson of that mass is 5.8 standard deviations. The excess is most significant in the two decay modes with the best mass resolution, gamma gamma and ZZ; a fit to these signals gives a mass of 125.3 +/- 0.4 (stat.) +/- 0.5 (syst.) GeV. The decay to two photons indicates that the new particle is a boson with spin different from one.

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How long is the coast of britain? Statistical self-similarity and fractional dimension.

B Mandelbrot (1967)

Geographical curves are so involved in their detail that their lengths are often infinite or, rather, undefinable. However, many are statistically "selfsimilar," meaning that each portion can be considered a reduced-scale image of the whole. In that case, the degree of complication can be described by a quantity D that has many properties of a "dimension," though it is fractional; that is, it exceeds the value unity associated with the ordinary, rectifiable, curves.

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Affiliations

[1 ]College of Economics and Management, Southwest University, Chongqing, China

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[* ]Corresponding author's e-mail address: taoyingyong@ 123456yahoo.com

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Yong Tao: (View ORCID Profile)

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Journal ID (publisher-id): SOR-PHYS

Title: ScienceOpen Research

Publisher: ScienceOpen

ISSN (Electronic): 2199-1006

Publication date 26 February 2015

Volume: 0 (ID: 1558a028-a700-4087-8748-85359a56820e )

Issue: 0

Pages: 1-27

Publisher ID: 2476:XE

DOI: 10.14293/S2199-1006.1.SOR-PHYS.A7OCK4.v1

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This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

Testing for Wilson's quantum field theory in less than 4 dimensions

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Most cited references 24

Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC

How long is the coast of britain? Statistical self-similarity and fractional dimension.

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